List questions from golden-ratio

Published on 17 May 2013 - 2:26

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Why is $\varphi$ called "the most irrational number"?

Published on 18 May 2013 - 23:03

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Golden ratio rectangles

Published on 27 May 2013 - 13:03

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intuition for the closed form of the fibonacci sequence

Published on 29 May 2013 - 6:04

108

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How to prove that $\frac{1}{n+1} = {\sqrt{n\over n+1}}\implies n = \Phi$?

Published on 11 Jun 2013 - 10:39

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pandigital rational approximations to the golden ratio and the base of the natural logarithm

Published on 22 Jul 2013 - 23:35

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Can the golden ratio accurately be expressed in terms of $e$ and $\pi$

Published on 28 Jul 2013 - 21:01

261

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Prove that $\frac{\pi}{\phi^2}<\frac65 $

Published on 18 Aug 2013 - 6:01

383

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Why is the reciprocal of the second Fibonacci number negative?

Published on 01 Sep 2013 - 19:24

622

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Polylogarithm ladders for the tribonacci and n-nacci constants

Published on 01 Sep 2013 - 23:06

933

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Internal polygon formed by drawing diagonals in a regular polygon

Published on 17 Sep 2013 - 16:56

248

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Hint to prove that $\phi^n + \phi'^n$ is an integer.

Published on 26 Sep 2013 - 1:42

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A closed form of $\int_0^\infty\frac{\sqrt[\phi]{x}\ \arctan x}{\left(x^\phi+1\right)^2}dx$

Published on 09 Oct 2013 - 18:28

85

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Is there a solution of $(x-1)/x=1$ or $(x+1)/x=1$?

Published on 06 Nov 2013 - 11:49

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Induction on Fibonacci Sequence and the Golden Ratio

Published on 24 Nov 2013 - 5:49

List Question

What real number is exactly one less than its cube?

Why is $\varphi$ called "the most irrational number"?

Golden ratio rectangles

intuition for the closed form of the fibonacci sequence

How to prove that $\frac{1}{n+1} = {\sqrt{n\over n+1}}\implies n = \Phi$?

pandigital rational approximations to the golden ratio and the base of the natural logarithm

Can the golden ratio accurately be expressed in terms of $e$ and $\pi$

Prove that $\frac{\pi}{\phi^2}<\frac65 $

Why is the reciprocal of the second Fibonacci number negative?

Polylogarithm ladders for the tribonacci and n-nacci constants

Internal polygon formed by drawing diagonals in a regular polygon

Hint to prove that $\phi^n + \phi'^n$ is an integer.

A closed form of $\int_0^\infty\frac{\sqrt[\phi]{x}\ \arctan x}{\left(x^\phi+1\right)^2}dx$

Is there a solution of $(x-1)/x=1$ or $(x+1)/x=1$?

Induction on Fibonacci Sequence and the Golden Ratio

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